4838980800 has 336 divisors, whose sum is σ = 16914611840. Its totient is φ = 1207664640.

The previous prime is 4838980777. The next prime is 4838980823. The reversal of 4838980800 is 80898384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4838980777) and next prime (4838980823).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4838980800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8846127 + ... + 8846673.

Almost surely, 2^4838980800 is an apocalyptic number.

4838980800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4838980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457305920).

4838980800 is an abundant number, since it is smaller than the sum of its proper divisors (12075631040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4838980800 is a wasteful number, since it uses less digits than its factorization.

4838980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 4838980800 is about 69562.7831530625. The cubic root of 4838980800 is about 1691.4193694280.

The spelling of 4838980800 in words is "four billion, eight hundred thirty-eight million, nine hundred eighty thousand, eight hundred".